commit d8cfccf8981c7b51fb9861c3001702a1e1e05ec9
Author: Asher <asherfalcon@icloud.com>
Date:   Thu Jun 12 06:59:54 2025 +0100

    Added pi estimation

diff --git a/.DS_Store b/.DS_Store
new file mode 100644
index 0000000..8ca0a83
Binary files /dev/null and b/.DS_Store differ
diff --git a/montecarlo/.DS_Store b/montecarlo/.DS_Store
new file mode 100644
index 0000000..aa951e5
Binary files /dev/null and b/montecarlo/.DS_Store differ
diff --git a/montecarlo/montecarlo.xcodeproj/project.pbxproj b/montecarlo/montecarlo.xcodeproj/project.pbxproj
new file mode 100644
index 0000000..d735bf4
--- /dev/null
+++ b/montecarlo/montecarlo.xcodeproj/project.pbxproj
@@ -0,0 +1,284 @@
+// !$*UTF8*$!
+{
+	archiveVersion = 1;
+	classes = {
+	};
+	objectVersion = 77;
+	objects = {
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+/* Begin PBXCopyFilesBuildPhase section */
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+			dstSubfolderSpec = 0;
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+			isa = PBXFrameworksBuildPhase;
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+			files = (
+			);
+			runOnlyForDeploymentPostprocessing = 0;
+		};
+/* End PBXFrameworksBuildPhase section */
+
+/* Begin PBXGroup section */
+		4DD4245A2DFA05750012A242 = {
+			isa = PBXGroup;
+			children = (
+				4DD424652DFA05750012A242 /* montecarlo */,
+				4DD424642DFA05750012A242 /* Products */,
+			);
+			sourceTree = "<group>";
+		};
+		4DD424642DFA05750012A242 /* Products */ = {
+			isa = PBXGroup;
+			children = (
+				4DD424632DFA05750012A242 /* montecarlo */,
+			);
+			name = Products;
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+			files = (
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+			runOnlyForDeploymentPostprocessing = 0;
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+/* End PBXSourcesBuildPhase section */
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+/* Begin XCBuildConfiguration section */
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+				ALWAYS_SEARCH_USER_PATHS = NO;
+				ASSETCATALOG_COMPILER_GENERATE_SWIFT_ASSET_SYMBOL_EXTENSIONS = YES;
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+				CLANG_ANALYZER_NUMBER_OBJECT_CONVERSION = YES_AGGRESSIVE;
+				CLANG_CXX_LANGUAGE_STANDARD = "gnu++20";
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+				CLANG_WARN_DIRECT_OBJC_ISA_USAGE = YES_ERROR;
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+				CLANG_WARN_OBJC_LITERAL_CONVERSION = YES;
+				CLANG_WARN_OBJC_ROOT_CLASS = YES_ERROR;
+				CLANG_WARN_QUOTED_INCLUDE_IN_FRAMEWORK_HEADER = YES;
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+				CLANG_WARN__DUPLICATE_METHOD_MATCH = YES;
+				COPY_PHASE_STRIP = NO;
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+				);
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+		};
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+			buildSettings = {
+				ALWAYS_SEARCH_USER_PATHS = NO;
+				ASSETCATALOG_COMPILER_GENERATE_SWIFT_ASSET_SYMBOL_EXTENSIONS = YES;
+				CLANG_ANALYZER_NONNULL = YES;
+				CLANG_ANALYZER_NUMBER_OBJECT_CONVERSION = YES_AGGRESSIVE;
+				CLANG_CXX_LANGUAGE_STANDARD = "gnu++20";
+				CLANG_ENABLE_MODULES = YES;
+				CLANG_ENABLE_OBJC_ARC = YES;
+				CLANG_ENABLE_OBJC_WEAK = YES;
+				CLANG_WARN_BLOCK_CAPTURE_AUTORELEASING = YES;
+				CLANG_WARN_BOOL_CONVERSION = YES;
+				CLANG_WARN_COMMA = YES;
+				CLANG_WARN_CONSTANT_CONVERSION = YES;
+				CLANG_WARN_DEPRECATED_OBJC_IMPLEMENTATIONS = YES;
+				CLANG_WARN_DIRECT_OBJC_ISA_USAGE = YES_ERROR;
+				CLANG_WARN_DOCUMENTATION_COMMENTS = YES;
+				CLANG_WARN_EMPTY_BODY = YES;
+				CLANG_WARN_ENUM_CONVERSION = YES;
+				CLANG_WARN_INFINITE_RECURSION = YES;
+				CLANG_WARN_INT_CONVERSION = YES;
+				CLANG_WARN_NON_LITERAL_NULL_CONVERSION = YES;
+				CLANG_WARN_OBJC_IMPLICIT_RETAIN_SELF = YES;
+				CLANG_WARN_OBJC_LITERAL_CONVERSION = YES;
+				CLANG_WARN_OBJC_ROOT_CLASS = YES_ERROR;
+				CLANG_WARN_QUOTED_INCLUDE_IN_FRAMEWORK_HEADER = YES;
+				CLANG_WARN_RANGE_LOOP_ANALYSIS = YES;
+				CLANG_WARN_STRICT_PROTOTYPES = YES;
+				CLANG_WARN_SUSPICIOUS_MOVE = YES;
+				CLANG_WARN_UNGUARDED_AVAILABILITY = YES_AGGRESSIVE;
+				CLANG_WARN_UNREACHABLE_CODE = YES;
+				CLANG_WARN__DUPLICATE_METHOD_MATCH = YES;
+				COPY_PHASE_STRIP = NO;
+				DEBUG_INFORMATION_FORMAT = "dwarf-with-dsym";
+				ENABLE_NS_ASSERTIONS = NO;
+				ENABLE_STRICT_OBJC_MSGSEND = YES;
+				ENABLE_USER_SCRIPT_SANDBOXING = YES;
+				GCC_C_LANGUAGE_STANDARD = gnu17;
+				GCC_NO_COMMON_BLOCKS = YES;
+				GCC_WARN_64_TO_32_BIT_CONVERSION = YES;
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+				GCC_WARN_UNDECLARED_SELECTOR = YES;
+				GCC_WARN_UNINITIALIZED_AUTOS = YES_AGGRESSIVE;
+				GCC_WARN_UNUSED_FUNCTION = YES;
+				GCC_WARN_UNUSED_VARIABLE = YES;
+				LOCALIZATION_PREFERS_STRING_CATALOGS = YES;
+				MACOSX_DEPLOYMENT_TARGET = 15.0;
+				MTL_ENABLE_DEBUG_INFO = NO;
+				MTL_FAST_MATH = YES;
+				SDKROOT = macosx;
+			};
+			name = Release;
+		};
+		4DD4246B2DFA05750012A242 /* Debug */ = {
+			isa = XCBuildConfiguration;
+			buildSettings = {
+				CODE_SIGN_STYLE = Automatic;
+				PRODUCT_NAME = "$(TARGET_NAME)";
+			};
+			name = Debug;
+		};
+		4DD4246C2DFA05750012A242 /* Release */ = {
+			isa = XCBuildConfiguration;
+			buildSettings = {
+				CODE_SIGN_STYLE = Automatic;
+				PRODUCT_NAME = "$(TARGET_NAME)";
+			};
+			name = Release;
+		};
+/* End XCBuildConfiguration section */
+
+/* Begin XCConfigurationList section */
+		4DD4245E2DFA05750012A242 /* Build configuration list for PBXProject "montecarlo" */ = {
+			isa = XCConfigurationList;
+			buildConfigurations = (
+				4DD424682DFA05750012A242 /* Debug */,
+				4DD424692DFA05750012A242 /* Release */,
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+		};
+		4DD4246A2DFA05750012A242 /* Build configuration list for PBXNativeTarget "montecarlo" */ = {
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+			buildConfigurations = (
+				4DD4246B2DFA05750012A242 /* Debug */,
+				4DD4246C2DFA05750012A242 /* Release */,
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+			defaultConfigurationName = Release;
+		};
+/* End XCConfigurationList section */
+	};
+	rootObject = 4DD4245B2DFA05750012A242 /* Project object */;
+}
diff --git a/montecarlo/montecarlo.xcodeproj/project.xcworkspace/contents.xcworkspacedata b/montecarlo/montecarlo.xcodeproj/project.xcworkspace/contents.xcworkspacedata
new file mode 100644
index 0000000..919434a
--- /dev/null
+++ b/montecarlo/montecarlo.xcodeproj/project.xcworkspace/contents.xcworkspacedata
@@ -0,0 +1,7 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<Workspace
+   version = "1.0">
+   <FileRef
+      location = "self:">
+   </FileRef>
+</Workspace>
diff --git a/montecarlo/montecarlo.xcodeproj/project.xcworkspace/xcuserdata/asher.xcuserdatad/UserInterfaceState.xcuserstate b/montecarlo/montecarlo.xcodeproj/project.xcworkspace/xcuserdata/asher.xcuserdatad/UserInterfaceState.xcuserstate
new file mode 100644
index 0000000..e3a51eb
Binary files /dev/null and b/montecarlo/montecarlo.xcodeproj/project.xcworkspace/xcuserdata/asher.xcuserdatad/UserInterfaceState.xcuserstate differ
diff --git a/montecarlo/montecarlo.xcodeproj/xcshareddata/xcschemes/montecarlo.xcscheme b/montecarlo/montecarlo.xcodeproj/xcshareddata/xcschemes/montecarlo.xcscheme
new file mode 100644
index 0000000..b54230d
--- /dev/null
+++ b/montecarlo/montecarlo.xcodeproj/xcshareddata/xcschemes/montecarlo.xcscheme
@@ -0,0 +1,80 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<Scheme
+   LastUpgradeVersion = "1600"
+   version = "1.7">
+   <BuildAction
+      parallelizeBuildables = "YES"
+      buildImplicitDependencies = "YES"
+      buildArchitectures = "Automatic">
+      <BuildActionEntries>
+         <BuildActionEntry
+            buildForTesting = "YES"
+            buildForRunning = "YES"
+            buildForProfiling = "YES"
+            buildForArchiving = "YES"
+            buildForAnalyzing = "YES">
+            <BuildableReference
+               BuildableIdentifier = "primary"
+               BlueprintIdentifier = "4DD424622DFA05750012A242"
+               BuildableName = "montecarlo"
+               BlueprintName = "montecarlo"
+               ReferencedContainer = "container:montecarlo.xcodeproj">
+            </BuildableReference>
+         </BuildActionEntry>
+      </BuildActionEntries>
+   </BuildAction>
+   <TestAction
+      buildConfiguration = "Debug"
+      selectedDebuggerIdentifier = "Xcode.DebuggerFoundation.Debugger.LLDB"
+      selectedLauncherIdentifier = "Xcode.DebuggerFoundation.Launcher.LLDB"
+      shouldUseLaunchSchemeArgsEnv = "YES"
+      shouldAutocreateTestPlan = "YES">
+   </TestAction>
+   <LaunchAction
+      buildConfiguration = "Debug"
+      selectedDebuggerIdentifier = "Xcode.DebuggerFoundation.Debugger.LLDB"
+      selectedLauncherIdentifier = "Xcode.DebuggerFoundation.Launcher.LLDB"
+      launchStyle = "0"
+      useCustomWorkingDirectory = "YES"
+      customWorkingDirectory = "/Users/asher/Documents/monte-carlo/montecarlo/montecarlo"
+      ignoresPersistentStateOnLaunch = "NO"
+      debugDocumentVersioning = "YES"
+      debugServiceExtension = "internal"
+      allowLocationSimulation = "YES"
+      viewDebuggingEnabled = "No">
+      <BuildableProductRunnable
+         runnableDebuggingMode = "0">
+         <BuildableReference
+            BuildableIdentifier = "primary"
+            BlueprintIdentifier = "4DD424622DFA05750012A242"
+            BuildableName = "montecarlo"
+            BlueprintName = "montecarlo"
+            ReferencedContainer = "container:montecarlo.xcodeproj">
+         </BuildableReference>
+      </BuildableProductRunnable>
+   </LaunchAction>
+   <ProfileAction
+      buildConfiguration = "Release"
+      shouldUseLaunchSchemeArgsEnv = "YES"
+      savedToolIdentifier = ""
+      useCustomWorkingDirectory = "NO"
+      debugDocumentVersioning = "YES">
+      <BuildableProductRunnable
+         runnableDebuggingMode = "0">
+         <BuildableReference
+            BuildableIdentifier = "primary"
+            BlueprintIdentifier = "4DD424622DFA05750012A242"
+            BuildableName = "montecarlo"
+            BlueprintName = "montecarlo"
+            ReferencedContainer = "container:montecarlo.xcodeproj">
+         </BuildableReference>
+      </BuildableProductRunnable>
+   </ProfileAction>
+   <AnalyzeAction
+      buildConfiguration = "Debug">
+   </AnalyzeAction>
+   <ArchiveAction
+      buildConfiguration = "Release"
+      revealArchiveInOrganizer = "YES">
+   </ArchiveAction>
+</Scheme>
diff --git a/montecarlo/montecarlo.xcodeproj/xcuserdata/asher.xcuserdatad/xcschemes/xcschememanagement.plist b/montecarlo/montecarlo.xcodeproj/xcuserdata/asher.xcuserdatad/xcschemes/xcschememanagement.plist
new file mode 100644
index 0000000..830e274
--- /dev/null
+++ b/montecarlo/montecarlo.xcodeproj/xcuserdata/asher.xcuserdatad/xcschemes/xcschememanagement.plist
@@ -0,0 +1,22 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
+<plist version="1.0">
+<dict>
+	<key>SchemeUserState</key>
+	<dict>
+		<key>montecarlo.xcscheme_^#shared#^_</key>
+		<dict>
+			<key>orderHint</key>
+			<integer>0</integer>
+		</dict>
+	</dict>
+	<key>SuppressBuildableAutocreation</key>
+	<dict>
+		<key>4DD424622DFA05750012A242</key>
+		<dict>
+			<key>primary</key>
+			<true/>
+		</dict>
+	</dict>
+</dict>
+</plist>
diff --git a/montecarlo/montecarlo/main.cpp b/montecarlo/montecarlo/main.cpp
new file mode 100644
index 0000000..d7c167a
--- /dev/null
+++ b/montecarlo/montecarlo/main.cpp
@@ -0,0 +1,61 @@
+//
+//  main.cpp
+//  montecarlo
+//
+//  Created by Asher Falcon on 11/06/2025.
+//
+
+#include <iostream>
+#include <thread>
+#include <random>
+#include <chrono>
+
+void compute(std::atomic<long long> &inside, long long iterations){
+    long long to_add = 0;
+    unsigned int seed = (unsigned int) std::chrono::system_clock::now().time_since_epoch().count();
+    std::mt19937 e2(seed);
+    std::uniform_real_distribution<double> dis(0.0, 1.0);
+    for(int i=0; i<iterations; i++){
+        double x = dis(e2);
+        double y = dis(e2);
+        if(x*x+y*y<=1){
+            to_add++;
+        }
+    }
+    inside+=to_add;
+}
+
+double monte_carlo(long long iterations){
+    
+    std::atomic<long long> inside(0);
+    
+    std::vector<std::thread> threads;
+    
+    int threadcount = std::thread::hardware_concurrency();;
+    
+    long long actual_n = iterations - iterations % threadcount;
+    
+    for(int i=0; i<threadcount; i++){
+        threads.emplace_back(compute, std::ref(inside), iterations/threadcount);
+    }
+    
+    for(auto& t : threads){
+        t.join();
+    }
+    
+    return inside * 4 / (double)actual_n;
+}
+
+int main() {
+    // testing with 1,000,000,000 iterations for now
+    std::vector<double> pi_values;
+    double pi_average = 0;
+    for(int i=0; i<10; i++){
+        double pi = monte_carlo(1e9);
+        std::cout << "Computed pi #"<<i+1<<" result: "<<pi << "\n";
+        pi_values.push_back(pi);
+        pi_average+=pi/10;
+    }
+    std::cout << "iterations: "<<1e8<<", pi: "<<pi_average<<','<<"\n";
+    return 0;
+}